/// <summary>
/// Construct a pie-slice of a new <c>SymmetricCylinder</c> around a central axis, the <c>centerLine</c>.
/// The radius at each point on the central axis is defined by a one-dimensional function <c>radius</c>.
/// The cylinder is cut in a pie-slice along the length of the shaft, defined by the angles
/// <c>startAngle</c> and <c>endAngle</c>.
///
/// The surface is parametrized with the coordinates \f$t \in [0, 1]\f$ (along the length of the shaft) and
/// \f$\phi \in [0, 2 \pi]\f$ (along the radial coordinate).
///
/// This gives a pie-sliced cylindrical surface that is defined only between the angles <c>startAngle</c>
/// and <c>endAngle</c>. For example, if <c>startAngle = 0.0f</c> and <c>endAngle = Math.PI</c>, one would
/// get a cylinder that is sliced in half.
/// </summary>
/// <param name="centerLine">
/// <inheritdoc cref="SymmetricCylinder.CenterCurve"/>
/// </param>
/// <param name="radius">
/// <inheritdoc cref="SymmetricCylinder.Radius"/>
/// </param>
/// <param name="startAngle">
/// The starting angle of the pie-slice at each point on the central axis. <c>startAngle</c> is a
/// one-dimensional function \f$\alpha(t)\f$ defined on the domain \f$t \in [0, 1]\f$, where \f$t=0\f$ is
/// the start point of the cylinder's central axis and \f$t=1\f$ is the end point of the cylinder's central
/// axis. This allows one to vary the angles of the pie-slice along the length of the shaft.
/// </param>
/// <param name="endAngle">
/// The end angle of the pie-slice at each point on the central axis. <c>endAngle</c> is a
/// one-dimensional function \f$\beta(t)\f$ defined on the domain \f$t \in [0, 1]\f$, where \f$t=0\f$ is
/// the start point of the cylinder's central axis and \f$t=1\f$ is the end point of the cylinder's central
/// axis. This allows one to vary the angles of the pie-slice along the length of the shaft.
/// </param>
public SymmetricCylinder(LineSegment centerLine, RaytraceableFunction1D radius, ContinuousMap <float, float> startAngle, ContinuousMap <float, float> endAngle)
: base(centerLine, new DomainToVector2 <float>(new Vector2(0.0f, 1.0f), radius), startAngle, endAngle)
{
radius1D = radius;
this.centerLine = centerLine;
}
/// <summary>
/// Construct a new <c>SymmetricCylinder</c> around a central axis, the <c>centerLine</c>. The radius at
/// each point on the central axis is defined by a one-dimensional function <c>radius</c>.
///
/// The surface is parametrized with the coordinates \f$t \in [0, 1]\f$ (along the length of the shaft) and
/// \f$\phi \in [0, 2 \pi]\f$ (along the radial coordinate).
/// </summary>
/// <param name="centerLine">
/// <inheritdoc cref="SymmetricCylinder.CenterCurve"/>
/// </param>
/// <param name="radius">
/// <inheritdoc cref="SymmetricCylinder.Radius"/>
/// </param>
public SymmetricCylinder(LineSegment centerLine, RaytraceableFunction1D radius)
: this(centerLine, radius, 0.0f, 2.0f * (float)Math.PI)
{
}
public HingeJoint(LineSegment centerLine, RaytraceableFunction1D radius, ContinuousMap <double, double> startAngle, ContinuousMap <double, double> endAngle)
{
articularSurface = new SymmetricCylinder(centerLine, radius, startAngle, endAngle);
}
/// <summary>
/// Construct a pie-slice of a new <c>SymmetricCylinder</c> around a central axis, the <c>centerLine</c>.
/// The radius at each point on the central axis is defined by a one-dimensional function <c>radius</c>.
/// The cylinder is cut in a pie-slice along the length of the shaft, defined by the angles
/// <c>startAngle</c> and <c>endAngle</c>.
///
/// The surface is parametrized with the coordinates \f$t \in [0, 1]\f$ (along the length of the shaft) and
/// \f$\phi \in [0, 2 \pi]\f$ (along the radial coordinate).
///
/// This gives a pie-sliced cylindrical surface that is defined only between the angles <c>startAngle</c>
/// and <c>endAngle</c>. For example, if <c>startAngle = 0.0f</c> and <c>endAngle = Math.PI</c>, one would
/// get a cylinder that is sliced in half.
/// </summary>
/// <param name="centerLine">
/// <inheritdoc cref="SymmetricCylinder.CenterCurve"/>
/// </param>
/// <param name="radius">
/// <inheritdoc cref="SymmetricCylinder.Radius"/>
/// </param>
/// <param name="startAngle">
/// The starting angle of the pie-slice at each point on the central axis. <c>startAngle</c> is a
/// one-dimensional function \f$\alpha(t)\f$ defined on the domain \f$t \in [0, 1]\f$, where \f$t=0\f$ is
/// the start point of the cylinder's central axis and \f$t=1\f$ is the end point of the cylinder's central
/// axis. This allows one to vary the angles of the pie-slice along the length of the shaft.
/// </param>
/// <param name="endAngle">
/// The end angle of the pie-slice at each point on the central axis. <c>endAngle</c> is a
/// one-dimensional function \f$\beta(t)\f$ defined on the domain \f$t \in [0, 1]\f$, where \f$t=0\f$ is
/// the start point of the cylinder's central axis and \f$t=1\f$ is the end point of the cylinder's central
/// axis. This allows one to vary the angles of the pie-slice along the length of the shaft.
/// </param>
public SymmetricCylinder(LineSegment centerLine, RaytraceableFunction1D radius, ContinuousMap <double, double> startAngle, ContinuousMap <double, double> endAngle)
: base(centerLine, new DomainToVector2 <double>(dvec2.UnitY, radius), startAngle, endAngle)
{
radius1D = radius;
this.centerLine = centerLine;
}
public HingeJoint(LineSegment centerLine, RaytraceableFunction1D radius)
{
articularSurface = new SymmetricCylinder(centerLine, radius);
}